Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 μ T. The equal current flowing in the two conductors is :

Question

Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 μ T. The equal current flowing in the two conductors is : (A) 30 A in the same direction. (B) 30 A in the opposite direction. (C) 60 A in the opposite direction. (D) 300 A in the opposite direction.

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/be7729dc4461d94f9994358be8bf36f5-.png" /> B at O =2 (μ0 I /2 π r ) (2 × 4 π × 10-7 I /2 π 4 × 10-2)=3 × 10-4 T I =30 A in opp. direction

Q. Two long current carrying conductors are placed parallel to each other at a distance of $8 c m$ between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is $300 μ T$ . The equal current flowing in the two conductors is :

30 A in the same direction.

30 A in the opposite direction.

60 A in the opposite direction.

300 A in the opposite direction.

$B$ at $O = 2 \frac{μ _{0} I}{2 π r}$
$\frac{2 \times 4 π \times 1 0 ^{- 7} I}{2 π 4 \times 1 0 ^{- 2}} = 3 \times 1 0^{- 4} T$
$I = 30 A$ in opp. direction

Q. Two long current carrying conductors are placed parallel to each other at a distance of 8cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300μT. The equal current flowing in the two conductors is :